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researcher randomly selects 165 vehicles and sees how many miles each car has been driven and the color of the vehicle. The two-way table displays the data. Suppose a vehicle is randomly selected. Let M = the vehicle has been driven many miles and B = the vehicle is blue.   Which of the following is the correct value and interpretation of P(B|M)? P(B|M) = 0.36; given that the vehicle color is blue, there is a 0.36 probability that it has been driven many miles. P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue. P(B|M) = 0.54; given that the vehicle color is blue, there is a 0.54 probability that it has been driven many miles. P(B|M) = 0.54; given that the vehicle has been driven many miles, there is a 0.54 probability that the color is blue

researcher randomly selects 165 vehicles and sees how many miles each car has been driven and the color of the vehicle. The two-way table displays the data. Suppose a vehicle is randomly selected. Let M = the vehicle has been driven many miles and B = the vehicle is blue.   Which of the following is the correct value and interpretation of P(B|M)? P(B|M) = 0.36; given that the vehicle color is blue, there is a 0.36 probability that it has been driven many miles. P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue. P(B|M) = 0.54; given that the vehicle color is blue, there is a 0.54 probability that it has been driven many miles. P(B|M) = 0.54; given that the vehicle has been driven many miles, there is a 0.54 probability that the color is blue

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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A researcher randomly selects 165 vehicles and sees how many miles each car has been driven and the color of the vehicle. The two-way table displays the data. Suppose a vehicle is randomly selected. Let M = the vehicle has been driven many miles and B = the vehicle is blue.

 

Which of the following is the correct value and interpretation of P(B|M)?

P(B|M) = 0.36; given that the vehicle color is blue, there is a 0.36 probability that it has been driven many miles.
P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.
P(B|M) = 0.54; given that the vehicle color is blue, there is a 0.54 probability that it has been driven many miles.
P(B|M) = 0.54; given that the vehicle has been driven many miles, there is a 0.54 probability that the color is blue.
Color White Red Blue Total Many 39 21 34 94 Few 16 26 29 71 Total 55 47 63 165 Miles Driven
Transcribed Image Text:Color White Red Blue Total Many 39 21 34 94 Few 16 26 29 71 Total 55 47 63 165 Miles Driven
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